Essential partial differential equations analytical and computational aspects
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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[2015]
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| Schriftenreihe: | Springer undergraduate mathematics series
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| Schlagworte: | |
| Online-Zugang: | DE-634 DE-861 DE-91 DE-19 DE-703 DE-20 DE-739 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
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| 245 | 1 | 0 | |a Essential partial differential equations |b analytical and computational aspects |c David F. Griffiths, John W. Dold, David J. Silvester |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2160177 |
|---|---|
| DE-BY-UBM_katkey | 5238667 |
| DE-BY-UBM_local_url | https://doi.org/10.1007/978-3-319-22569-2 Verlag |
| _version_ | 1823055818323394560 |
| adam_text | ESSENTIAL PARTIAL DIFFERENTIAL EQUATIONS
/ GRIFFITHS, DAVID F.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
SETTING THE SCENE
BOUNDARY AND INITIAL DATA
THE ORIGIN OF PDES
CLASSIFICATION OF PDES
BOUNDARY VALUE PROBLEMS IN R1
FINITE DIFFERENCE METHODS IN R1
MAXIMUM PRINCIPLES AND ENERGY METHODS
SEPARATION OF VARIABLES
THE METHOD OF CHARACTERISTICS
FINITE DIFFERENCE METHODS FOR ELLIPTIC PDES
FINITE DIFFERENCE METHODS FOR PARABOLIC PDES
FINITE DIFFERENCE METHODS FOR HYPERBOLIC PDES
PROJECTS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ESSENTIAL PARTIAL DIFFERENTIAL EQUATIONS
/ GRIFFITHS, DAVID F.
: 2015
ABSTRACT / INHALTSTEXT
THIS VOLUME PROVIDES AN INTRODUCTION TO THE ANALYTICAL AND NUMERICAL
ASPECTS OF PARTIAL DIFFERENTIAL EQUATIONS (PDES). IT UNIFIES AN
ANALYTICAL AND COMPUTATIONAL APPROACH FOR THESE; THE QUALITATIVE
BEHAVIOUR OF SOLUTIONS BEING ESTABLISHED USING CLASSICAL CONCEPTS:
MAXIMUM PRINCIPLES AND ENERGY METHODS. NOTABLE INCLUSIONS ARE THE
TREATMENT OF IRREGULARLY SHAPED BOUNDARIES, POLAR COORDINATES AND THE
USE OF FLUX-LIMITERS WHEN APPROXIMATING HYPERBOLIC CONSERVATION LAWS.
THE NUMERICAL ANALYSIS OF DIFFERENCE SCHEMES IS RIGOROUSLY DEVELOPED
USING DISCRETE MAXIMUM PRINCIPLES AND DISCRETE FOURIER ANALYSIS. A NOVEL
FEATURE IS THE INCLUSION OF A CHAPTER CONTAINING PROJECTS, INTENDED FOR
EITHER INDIVIDUAL OR GROUP STUDY, THAT COVER A RANGE OF TOPICS SUCH AS
PARABOLIC SMOOTHING, TRAVELLING WAVES, ISOSPECTRAL MATRICES, AND THE
APPROXIMATION OF MULTIDIMENSIONAL ADVECTION–DIFFUSION PROBLEMS. THE
UNDERLYING THEORY IS ILLUSTRATED BY NUMEROUS EXAMPLES AND THERE ARE
AROUND 300 EXERCISES, DESIGNED TO PROMOTE AND TEST UNDERSTANDING. THEY
ARE STARRED ACCORDING TO LEVEL OF DIFFICULTY. SOLUTIONS TO ODD-NUMBERED
EXERCISES ARE AVAILABLE TO ALL READERS WHILE EVEN-NUMBERED SOLUTIONS ARE
AVAILABLE TO AUTHORISED INSTRUCTORS. WRITTEN IN AN INFORMAL YET
RIGOROUS STYLE, ESSENTIAL PARTIAL DIFFERENTIAL EQUATIONS IS DESIGNED FOR
MATHEMATICS UNDERGRADUATES IN THEIR FINAL OR PENULTIMATE YEAR OF
UNIVERSITY STUDY, BUT WILL BE EQUALLY USEFUL FOR STUDENTS FOLLOWING
OTHER SCIENTIFIC AN D ENGINEERING DISCIPLINES IN WHICH PDES ARE OF
PRACTICAL IMPORTANCE. THE ONLY PREREQUISITE IS A FAMILIARITY WITH THE
BASIC CONCEPTS OF CALCULUS AND LINEAR ALGEBRA
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Griffiths, David F. Dold, John Silvester, David J. |
| author_GND | (DE-588)172105811 (DE-588)1083813706 (DE-588)11391220X |
| author_facet | Griffiths, David F. Dold, John Silvester, David J. |
| author_role | aut aut aut |
| author_sort | Griffiths, David F. |
| author_variant | d f g df dfg j d jd d j s dj djs |
| building | Verbundindex |
| bvnumber | BV043209748 |
| classification_rvk | SK 540 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)923671510 (DE-599)BVBBV043209748 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-22569-2 |
| format | Electronic eBook |
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| id | DE-604.BV043209748 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T17:41:49Z |
| institution | BVB |
| isbn | 9783319225692 |
| issn | 1615-2085 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632909 |
| oclc_num | 923671510 |
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| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
| physical | 1 Online Ressource (XI, 368 Seiten, 106 illus., 1 illus. in color) |
| psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer undergraduate mathematics series |
| spellingShingle | Griffiths, David F. Dold, John Silvester, David J. Essential partial differential equations analytical and computational aspects Mathematics Partial differential equations Mathematical physics Computer mathematics Partial Differential Equations Mathematical Applications in the Physical Sciences Computational Mathematics and Numerical Analysis Mathematik Mathematische Physik Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4128130-5 |
| title | Essential partial differential equations analytical and computational aspects |
| title_auth | Essential partial differential equations analytical and computational aspects |
| title_exact_search | Essential partial differential equations analytical and computational aspects |
| title_full | Essential partial differential equations analytical and computational aspects David F. Griffiths, John W. Dold, David J. Silvester |
| title_fullStr | Essential partial differential equations analytical and computational aspects David F. Griffiths, John W. Dold, David J. Silvester |
| title_full_unstemmed | Essential partial differential equations analytical and computational aspects David F. Griffiths, John W. Dold, David J. Silvester |
| title_short | Essential partial differential equations |
| title_sort | essential partial differential equations analytical and computational aspects |
| title_sub | analytical and computational aspects |
| topic | Mathematics Partial differential equations Mathematical physics Computer mathematics Partial Differential Equations Mathematical Applications in the Physical Sciences Computational Mathematics and Numerical Analysis Mathematik Mathematische Physik Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Mathematics Partial differential equations Mathematical physics Computer mathematics Partial Differential Equations Mathematical Applications in the Physical Sciences Computational Mathematics and Numerical Analysis Mathematik Mathematische Physik Partielle Differentialgleichung Numerisches Verfahren |
| url | https://doi.org/10.1007/978-3-319-22569-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632909&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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